DGA-structure on additive higher Chow groups

Krishna, Amalendu ; Park, Jinhyun (2013) DGA-structure on additive higher Chow groups International Mathematics Research Notices, 2015 (1). pp. 1-54. ISSN 1073-7928

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Official URL: http://imrn.oxfordjournals.org/content/2015/1/1

Related URL: http://dx.doi.org/10.1093/imrn/rnt193


We construct a graded-commutative differential graded algebra structure on additive higher Chow groups of a smooth projective variety over a perfect field. We show that these groups are equipped with Frobenius and Verschiebung operators that turn the collection into a Witt complex.

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